document.write( "Question 1094072: The square of the sum of two positive, consecutive, even numbers exceeds the sum of their squares by 336. Find the numbers.
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Algebra.Com's Answer #708686 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "You are given\r\n" );
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document.write( " -  = 336,    (1)\r\n" );
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document.write( "which is equivalent to\r\n" );
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document.write( " = 336,   or\r\n" );
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document.write( "2xy = 336,   or   xy =  = 168,\r\n" );
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document.write( "where x and y are integer numbers.\r\n" );
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document.write( "So, any pair of integers with xy = 168 is the solution to equation (1).\r\n" );
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document.write( "x     y\r\n" );
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document.write( "1     168\r\n" );
document.write( "2      84\r\n" );
document.write( "3      56\r\n" );
document.write( "4      42\r\n" );
document.write( "6      28\r\n" );
document.write( "8      21\r\n" );
document.write( "12     14\r\n" );
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document.write( "and all reverted pairs,  and all the pairs with opposite numbers.\r\n" );
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document.write( "Of them, only the pair  (12,14)  represents  consecutive positive even integers.\r\n" );
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